Fock space expansion of sigma meson in leading-Nc

Details Fock space expansion of sigma meson in leading-Nc Fock space expansion of sigma meson in leading-Nc

2011-01-13

arxiv.org/abs/1101.2539v1

Nuclear Physics B (Proc. Suppl.) 207-208 (2010) 169-172

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 4 figures, Proceedings of QCD10, the 15th High-Energy Physics International Conference on Quantum Chromodynamics

Scientific paper

10.1016/j.nuclphysbps.2010.10.04

We examine the leading-Nc behavior of the masses and transition matrix elements of some low-lying, few-particle configurations in QCD. A truncation of the Fock space produces an effective, symmetric Hamiltonian that we diagonalize. The lowest eigenvalue is identified as the sigma meson if the Hamiltonian is chosen to represent the scalar sector. As an application, the coefficients of the Nc powers are then fit to two-loop Unitarized SU(2) Chiral Perturbation Theory results for the sigma mass and width as a function of the number of colors, and we show that those results can be accommodated using the QCD Nc dependence previously derived for matrix elements, without the need for unnatural parameters or fine tunings. Finally, we show a very preliminary good quality fit, estimating the proportion of tetraquark/molecule-like (dominant), q-anti-q-like (subdominant) and exotic-like (marginal) configurations in the sigma.

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